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This article is cited in 1 scientific paper (total in 1 paper)
Involutions in algebras of upper-triangular matrices
I. A. Kulguskin, D. T. Tapkin Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Abstract:
In this paper we classify up to equivalency involutions of first kind in algebras of upper-triangular matrices over commutative rings. In case of a field $F$ of characteristics $2$ we obtain necessary and sufficient conditions for finiteness of the set of invlolutions equivalency classes of $T_{n}(F)$.
Keywords:
involution, equivalency of invloutions, algebra of upper-triangular matrices.
Received: 20.10.2022 Revised: 16.11.2022 Accepted: 21.12.2022
Citation:
I. A. Kulguskin, D. T. Tapkin, “Involutions in algebras of upper-triangular matrices”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 6, 11–30
Linking options:
https://www.mathnet.ru/eng/ivm9885 https://www.mathnet.ru/eng/ivm/y2023/i6/p11
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Abstract page: | 113 | Full-text PDF : | 15 | References: | 25 | First page: | 11 |
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